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Finding the Fourth Proportional to 10,352.98, 14,255.47 and 7,804.45

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Solution

The fourth proportional to 10,352.98, 14,255.47 and 7,804.45 is: 10,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.98 : 14,255.47 = 7,804.45 : x
  2. Step 2: Convert to fraction form
    10,352.98/14,255.47 = 7,804.45/x
  3. Step 3: Cross multiply
    10,352.98x = 14,255.47 × 7,804.45
  4. Step 4: Simplify right side
    10,352.98x = 111,256,102.84
  5. Step 5: Solve for x
    x = 111,256,102.84/10,352.98
  6. Step 6: Final answer
    x = 10,746.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.